Comparison Criteria for Three-Interval Sturm-Liouville Equations-Reference-Cited by-同舟云学术

Comparison Criteria for Three-Interval Sturm-Liouville Equations

Published:2021-12-10 Issue: Volume: Page:
ISSN:2148-1830
Container-title:Turkish Journal of Mathematics and Computer Science
language:en
Short-container-title:TJMCS

Author:

MUKHTAROV Oktay¹,AYDEMİR Kadriye²^ORCID

Affiliation:

1. TOKAT GAZIOSMANPASA UNIVERSITY

2. AMASYA ÜNİVERSİTESİ

Abstract

This study devoted to the investigation of comparison properties for periodic Sturm-Liouville problems, defined on three disjoint intervals together with additional transfer conditions across the common endpoint of these intervals, so-called transmission conditions. The results obtained generalize the corresponding classical results of Sturm's comparison and oscillation theory.

Publisher

Turkish Journal of Mathematics and Computer Science, Association of Mathematicians

Subject

General Medicine

Reference25 articles.

1. Akbarfam, I., Jodayree, A., Resolvent operator and self-adjointness of Sturm-Liouville operators with a finite number of transmission conditions, Mediterranean Journal Of Mathematics, 11(2)(2014), 447–462.

2. Allahverdiev, B.P., Bairamov, E., Ugurlu, E., Eigenparameter dependent Sturm-Liouville problems in boundary conditions with transmission conditions, Journal of Mathematical Analysis and Applications, 401(1)(2013), 388–396.

3. Allahverdiev, B.P., Tuna, H., Titchmarsh-weyl theory for Dirac systems with transmission conditions, Mediterranean Journal of Mathematics, 15(4)(2018), 1–12.

4. Allahverdiev, B. P., Tuna, H., Eigenfunction Expansion for singular Sturm-Liouville problems with transmission conditions, Electronic Journal of Differential Equations, 3(2019), 4286–4302.

5. Aydemir, K., Mukhtarov, O.Sh., Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem, Boundary Value Problems, 2016(1)(2016), 1–16.